Answer
$x=4$
Work Step by Step
We are given the exponential equation $3^{x}=81$.
We can express each side using a common base and then solve for $x$.
$3^{x}=3^{4}=81$
Take the natural log of both sides.
$ln(3^{x})=ln(3^{4})$
$xln(3)=4ln(3)$
Divide both sides by $ln(3)$.
$x=4$
